Phylum Radiolaria Müller, 1858 see Subphylum Radiozoa Cavalier-Smith, 1987
   Superclass Polycystina Ehrenberg, 1838 see Superclass Polycystinia Ehrenberg, 1838
     Class Nassellaria Ehrenberg, 1847
       Order Cyrtidinata Haeckel, 1862
         Superfamily Amphipyndacioidea Riedel, 1967
           Family †Spongocapsulidae Pessagno, 1977
             1 Genus †Anachoreta O'Dogherty, 1994, nom. illeg.
             2 Genus †Obesacapsula Pessagno, 1977
             3 Genus †Spongocapsula Pessagno, 1977
             4 Genus †Torculum O'Dogherty, 1994
             5 Genus †Tubilustrium O'Dogherty, 1994, nom. illeg.